title: Effective electrodiffusion equation for non-uniform nanochannels.
abstract: We derive a one-dimensional formulation of the Planck-Nernst-Poisson equation to describe the dynamics of a symmetric binary electrolyte in channels whose section is nanometric and varies along the axial direction. The approach is in the spirit of the Fick-Jacobs diffusion equation and leads to a system of coupled equations for the partial densities which depends on the charge sitting at the walls in a non-trivial fashion. We consider two kinds of non-uniformities, those due to the spatial variation of charge distribution and those due to the shape variation of the pore and report one- and three-dimensional solutions of the electrokinetic equations.
authors.affiliation: Scuola di Scienze e Tecnologie, Università di Camerino, Via Madonna delle Carceri, 62032 Camerino, Italy.
authors.forename: Umberto
authors.initials: U
authors.lastname: Marini Bettolo Marconi
authors.forename: Simone
authors.initials: S
authors.lastname: Melchionna
authors.forename: Ignacio
authors.initials: I
authors.lastname: Pagonabarraga
mesh_terms: D004058:Diffusion; D053758:Nanoparticles / Q000737:chemistry*